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12340743705135 = 325274238749003
BaseRepresentation
bin1011001110010100110110…
…1001010001001000101111
31121200202121122110210200200
42303211031221101020233
53104142320342031020
642125132010124543
72412406063506246
oct263451551211057
947622548423620
1012340743705135
113a2875310a88a
121473876120753
136b695b6a3251
1430941bda195d
1516602751d590
hexb394da5122f

12340743705135 has 12 divisors (see below), whose sum is σ = 21390622422312. Its totient is φ = 6581729976048.

The previous prime is 12340743705109. The next prime is 12340743705193. The reversal of 12340743705135 is 53150734704321.

12340743705135 is a `hidden beast` number, since 1 + 2 + 3 + 407 + 43 + 70 + 5 + 135 = 666.

12340743705135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12340743705135 - 26 = 12340743705071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 274238749003 = 12340743705135 / (1 + 2 + 3 + 4 + 0 + 7 + 4 + 3 + 7 + 0 + 5 + 1 + 3 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137119374457 + ... + 137119374546.

It is an arithmetic number, because the mean of its divisors is an integer number (1782551868526).

Almost surely, 212340743705135 is an apocalyptic number.

12340743705135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12340743705135 is a deficient number, since it is larger than the sum of its proper divisors (9049878717177).

12340743705135 is a wasteful number, since it uses less digits than its factorization.

12340743705135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274238749014 (or 274238749011 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 12340743705135 in words is "twelve trillion, three hundred forty billion, seven hundred forty-three million, seven hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 274238749003 822716247009 1371193745015 2468148741027 4113581235045 12340743705135